Suppose that the Turing machine R decides E_{LBA}, then we could construct ...
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Suppose that the Turing machine R decides E_{LBA}, then we could construct the Turing machine S to decide
A_{TM} as follows.
S = “On input ⟨M, w⟩, where M is a Turing machine and w is a string:
Construct LBA B from M and w.
Run R on input ⟨B⟩.
If R rejects, reject; if R accepts, accept.”
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